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What is the Least Common Multiple of 18358 and 18364?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 18358 and 18364 is 168563156.

LCM(18358,18364) = 168563156

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Least Common Multiple of 18358 and 18364 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18358 and 18364, than apply into the LCM equation.

GCF(18358,18364) = 2
LCM(18358,18364) = ( 18358 × 18364) / 2
LCM(18358,18364) = 337126312 / 2
LCM(18358,18364) = 168563156

Least Common Multiple (LCM) of 18358 and 18364 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18358 and 18364. First we will calculate the prime factors of 18358 and 18364.

Prime Factorization of 18358

Prime factors of 18358 are 2, 67, 137. Prime factorization of 18358 in exponential form is:

18358 = 21 × 671 × 1371

Prime Factorization of 18364

Prime factors of 18364 are 2, 4591. Prime factorization of 18364 in exponential form is:

18364 = 22 × 45911

Now multiplying the highest exponent prime factors to calculate the LCM of 18358 and 18364.

LCM(18358,18364) = 22 × 671 × 1371 × 45911
LCM(18358,18364) = 168563156